How is paper 4 different from papers 1 to 3?

Paper 1 was direct and reverse volume, paper 2 filling and cutting, paper 3 units and water depth; paper 4 concentrates on displacement, where the risen slice of water equals the object, and on telling surface area from volume.

Why use the rise in depth rather than the new depth?

The object only takes the space of the slice the water rose through; using the new depth would count the water already there and give a much larger answer.

Primary 5 Maths: Volume of Cuboids and Cubes — Practice Paper 4 (10 Questions)

2026-10-29

Tutor Prep Guide · Primary Maths

Paper 4 links volume to displacement: a stone raises the water, and the risen slice of water is the volume of the stone. It also separates surface area from volume.

Quick answer　10 questions, about 25 minutes. Item 05 is displacement, items 06 and 07 are surface area and item 08 pours more water in; mark after finishing.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10 questions
Suggested time	25 minutes
Difficulty mix	Foundation 4 · Intermediate 3 · Challenge 2 · Error redo 1
Chapter	Chapter: Primary 5 Maths: Volume of Cuboids and Cubes
Level	Primary 5

02　Questions (10 items)

FoundationA cuboid is 20 cm long, 6 cm wide and 5 cm high. Find its volume.
FoundationA cube has volume 343 cm³. Find its edge length.
FoundationA cuboid has volume 900 cm³ and base area 60 cm². Find its height.
FoundationA box is 1.2 m long, 0.5 m wide and 0.4 m high. Find its capacity in litres.
IntermediateA tank is 30 cm long and 20 cm wide. A stone is put in and the water rises from 12 cm to 15 cm. Find the volume of the stone.
IntermediateA cube has 6 cm edges. Give its total surface area and its volume.
IntermediateA cuboid is 8 cm long, 5 cm wide and 4 cm high. Find its total surface area.
ChallengeA tank is 40 cm long, 30 cm wide and 25 cm high, holding water 20 cm deep. Another 6 L is poured in. Find the new depth.
ChallengeBox A is 20 cm by 15 cm by 10 cm; box B is a cube with 14 cm edges. Which holds more, and by how much?
Error redoA cuboid is 12 cm long, 5 cm wide and 3 cm high. Find its volume. (common slip: writing 180 cm² instead of cm³)

03　Answers and one-line notes

#	Answer	One-line note
1	600 cm³	Length × width × height = 20 × 6 × 5, with unit cm³.
2	7 cm	Find the number that gives 343 when cubed: 7 × 7 × 7.
3	15 cm	Height = volume ÷ base area = 900 ÷ 60.
4	240 L	Volume is 0.24 m³; 1 m³ = 1000 L, so 240 L. The decimal point moves three places.
5	1800 cm³	Only the 3 cm rise counts: 30 × 20 × 3, never the new level of 15 cm.
6	Surface area 216 cm², volume 216 cm³	Surface area is six faces, 6 × 36; volume is 6 × 6 × 6. Same number, but one is cm² and the other cm³.
7	184 cm²	Three pairs of faces: (40 + 32 + 20) × 2. The base is the one most often missed.
8	25 cm	Existing 24,000 cm³ plus 6,000 cm³ gives 30,000 cm³, divided by the 1,200 cm² base; that is exactly to the brim.
9	Box A, by 256 cm³	A holds 3,000 cm³ and B holds 2,744 cm³; a longer edge does not mean a bigger capacity.
10	180 cm³	12 × 5 × 3 = 180; volume is always cm³, and cm² belongs to area only.

04　What to do after marking

After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
Repeat the same item two days later; move to the next paper only when both attempts are correct.
Parents only need the answer and note columns; there is no need to explain every item.

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